RD Sharma Solutions for Class 7 Maths Chapter 3 Decimals
By Ankit Gupta
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Updated on 5 Apr 2025, 16:51 IST
Mathematics is an essential part of our daily lives, and understanding the concept of decimals is crucial for students. In Class 7, Chapter 3 of RD Sharma, we dive into the fascinating world of decimals, a topic that plays a vital role in improving your numerical skills. Whether it's measuring, comparing quantities, or dealing with financial calculations, decimals are used everywhere. This chapter aims to introduce you to the basics of decimal numbers and guide you through operations like addition, subtraction, multiplication, and division involving decimals.
In this chapter, you will learn how to convert fractions to decimals, understand the importance of decimal places, and perform decimal addition and subtraction. You will also explore multiplication and division of decimals, focusing on aligning decimal points and ensuring accurate results. As you progress, you will develop the ability to handle more complex decimal problems, making you proficient in using decimals in real-world applications.
The RD Sharma Solutions for Class 7 Maths Chapter 3 Decimals are designed to help students grasp these concepts step by step. These solutions offer clear explanations, detailed stepwise methods, and tips that will make learning decimals both easy and fun. Each exercise has been crafted to enhance your understanding and improve your problem-solving abilities. The practice questions are designed to strengthen your foundation and prepare you for higher-level topics.
By mastering the skills in this chapter, you’ll gain confidence in solving decimal-related problems and apply them to everyday situations like handling money, measurements, and even scientific calculations. So, let's dive into Chapter 3 and take the first step toward mastering decimals!
Download RD Sharma Solutions for Class 7 Maths Chapter 3 Decimals PDF Here
RD Sharma Class 7 Chapter 3 PDF includes detailed solutions, examples, and extra questions to help you master real numbers and other topics. Click here to download the RD Sharma Class 7 Chapter 3 PDF.
Access Answers to RD Sharma Solutions for Class 7 Maths Chapter 3 Integers
In this chapter, students will learn about decimals and how to perform basic operations with them. The solutions provided here are detailed and easy to follow, helping students understand each concept thoroughly.
Q1. Convert the following into decimals:
- (8/100)
- 20 + (9/10) + (4/100)
- 23 + (2/10) + (6/1000)
Solution:
(i) (8/100)
To convert 8/100 into a decimal, move the decimal point two places from right to left. Therefore, 8/100 = 0.08.
(ii) 20 + (9/10) + (4/100)
Convert (9/10) and (4/100) to decimals:
- (9/10) = 0.9
- (4/100) = 0.04
Therefore, 20 + 0.9 + 0.04 = 20.94.
(iii) 23 + (2/10) + (6/1000)
Convert (2/10) and (6/1000) to decimals:
- (2/10) = 0.2
- (6/1000) = 0.006
Therefore, 23 + 0.2 + 0.006 = 23.206.
Q2. Convert the following decimals to fractions:
- 0.04
- 2.34
- 0.342
- 17.38
Solution:
(i) 0.04
To convert 0.04 into a fraction, write it as 0.04/1. Then multiply both numerator and denominator by 100:
(0.04/1) = 4/100 = 1/25.
(ii) 2.34
To convert 2.34 into a fraction, write it as 2.34/1. Then multiply both numerator and denominator by 100:
(2.34/1) = 234/100 = 117/50.
(iii) 0.342
To convert 0.342 into a fraction, write it as 0.342/1. Then multiply both numerator and denominator by 1000:
(0.342/1) = 342/1000 = 171/500.
(iv) 17.38
To convert 17.38 into a fraction, write it as 17.38/1. Then multiply both numerator and denominator by 100:
(17.38/1) = 1738/100 = 869/50.
Q3. Convert the following fractions into decimals:
- 23/10
- 25 + (1/8)
- 1372/35
- 15 + (1/25)
Solution:
(i) 23/10
To convert 23/10 into a decimal, divide 23 by 10. Therefore, 23/10 = 2.3.
(ii) 25 + (1/8)
Convert (1/8) into a decimal by multiplying both the numerator and denominator by 125 to get 1000 as the denominator:
(1/8) = 0.125
Therefore, 25 + 0.125 = 25.125.
(iii) 1372/35
Divide 1372 by 35. The result is 39.2.
(iv) 15 + (1/25)
Convert (1/25) into a decimal by multiplying both the numerator and denominator by 4 to get 100 as the denominator:
(1/25) = 0.04
Therefore, 15 + 0.04 = 15.04.
Q4. Find the product:
- 4.74 × 10
- 0.45 × 10
- 0.0215 × 10
- 0.0054 × 10
Solution:
(i) 4.74 × 10
Multiply 4.74 by 10. Shift the decimal point one place to the right.
4.74 × 10 = 47.4.
(ii) 0.45 × 10
Multiply 0.45 by 10. Shift the decimal point one place to the right.
0.45 × 10 = 4.5.
(iii) 0.0215 × 10
Multiply 0.0215 by 10. Shift the decimal point one place to the right.
0.0215 × 10 = 0.215.
(iv) 0.0054 × 10
Multiply 0.0054 by 10. Shift the decimal point one place to the right.
0.0054 × 10 = 0.054.
Q5. Find the product:
- 35.853 × 100
- 42.5 × 100
- 12.075 × 100
- 100 × 0.005
Solution:
(i) 35.853 × 100
Multiply 35.853 by 100. Shift the decimal point two places to the right.
35.853 × 100 = 3585.3.
(ii) 42.5 × 100
Multiply 42.5 by 100. Shift the decimal point two places to the right.
42.5 × 100 = 4250.
(iii) 12.075 × 100
Multiply 12.075 by 100. Shift the decimal point two places to the right.
12.075 × 100 = 1207.50.
(iv) 100 × 0.005
Multiply 100 by 0.005. Shift the decimal point two places to the right.
100 × 0.005 = 0.5.
FAQs on RD Sharma Solutions for Class 7 Maths Chapter 3 Decimals
What is the importance of studying decimals in Class 7?
Decimals are an essential part of mathematics that are widely used in everyday life. Understanding decimals helps students in areas like measuring lengths, handling money, calculating averages, and understanding scientific data. This chapter provides the foundation for mastering decimal operations, which are necessary for higher-level math concepts.
How can I convert fractions into decimals in Chapter 3?
To convert a fraction into a decimal, divide the numerator by the denominator. RD Sharma Solutions provide detailed steps to perform this conversion, helping you understand how fractions and decimals are related. By following these steps, students can easily convert fractions into decimals and vice versa.
What are the key operations covered in this chapter?
Chapter 3 of RD Sharma focuses on the following key operations with decimals:
- Addition of Decimals
- Subtraction of Decimals
- Multiplication of Decimals
- Division of Decimals
Each of these operations is explained with examples and practice problems to help students learn step-by-step.
How do I align decimal points while adding or subtracting decimals?
When adding or subtracting decimals, it is important to align the decimal points vertically to ensure accuracy. RD Sharma Solutions offer clear guidance on how to align the decimal points and perform the calculations correctly. This technique helps in getting the correct result when performing decimal addition or subtraction.
What are the benefits of practicing RD Sharma Solutions for Class 7 Maths?
Practicing RD Sharma Solutions enhances your understanding of decimal concepts and builds your problem-solving skills. These solutions provide detailed explanations and stepwise methods that make learning decimals easier. Regular practice helps in boosting confidence and preparing you for more complex topics in future chapters.
Can I use RD Sharma Solutions to prepare for exams?
Yes, RD Sharma Solutions for Class 7 Maths Chapter 3 Decimals are perfect for exam preparation. By practicing these solutions, you can strengthen your understanding of decimal operations and solve a variety of problems. The chapter is designed to help students master decimal concepts, ensuring better performance in exams.